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Finding the Fourth Proportional to 9,892.33, 14,816.93 and 4,953.35

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Solution

The fourth proportional to 9,892.33, 14,816.93 and 4,953.35 is: 7,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.33 : 14,816.93 = 4,953.35 : x
  2. Step 2: Convert to fraction form
    9,892.33/14,816.93 = 4,953.35/x
  3. Step 3: Cross multiply
    9,892.33x = 14,816.93 × 4,953.35
  4. Step 4: Simplify right side
    9,892.33x = 73,393,452.49
  5. Step 5: Solve for x
    x = 73,393,452.49/9,892.33
  6. Step 6: Final answer
    x = 7,419.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.